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28345769970 = 23571964111083
BaseRepresentation
bin11010011001100010…
…100001111111110010
32201011110120022101020
4122121202201333302
5431023004114340
621004420120310
72022302032530
oct323142417762
981143508336
1028345769970
11110264a2581
1255b0b36096
13289975276b
14152c879150
15b0d7b69d0
hex6998a1ff2

28345769970 has 128 divisors (see below), whose sum is σ = 81975490560. Its totient is φ = 6127902720.

The previous prime is 28345769941. The next prime is 28345769971. The reversal of 28345769970 is 7996754382.

It is not an unprimeable number, because it can be changed into a prime (28345769971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2552049 + ... + 2563131.

It is an arithmetic number, because the mean of its divisors is an integer number (640433520).

Almost surely, 228345769970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345769970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987745280).

28345769970 is an abundant number, since it is smaller than the sum of its proper divisors (53629720590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28345769970 is a wasteful number, since it uses less digits than its factorization.

28345769970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760.

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 28345769970 in words is "twenty-eight billion, three hundred forty-five million, seven hundred sixty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 641 665 798 1282 1330 1923 1995 3205 3846 3990 4487 6410 8974 9615 11083 12179 13461 19230 22166 22435 24358 26922 33249 36537 44870 55415 60895 66498 67305 73074 77581 85253 110830 121790 134610 155162 166245 170506 182685 210577 232743 255759 332490 365370 387905 421154 426265 465486 511518 631731 775810 852530 1052885 1163715 1263462 1278795 1474039 2105770 2327430 2557590 2948078 3158655 4422117 6317310 7104203 7370195 8844234 14208406 14740390 21312609 22110585 35521015 42625218 44221170 49729421 71042030 99458842 106563045 134979857 149188263 213126090 248647105 269959714 298376526 404939571 497294210 674899285 745941315 809879142 944858999 1349798570 1491882630 1889717998 2024697855 2834576997 4049395710 4724294995 5669153994 9448589990 14172884985 28345769970